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Physics

Mechanics

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Question

$straight A space uniform space cylinder space of space mass space straight M space and space radius space straight R space is space released space from space rest space on space straight a space rough inclined space surface space of space inclination space straight theta space with space the space horizontal space as space shown space in space figure. space As space the space cylinder space rolls space down space the space inclined space surface comma space the space maximum space elongation space in space the space spring space of space stiffness space straight k space is$

$\frac{3}{4} \frac{M g \sin θ}{k}$
$\frac{2 M g \sin θ}{k}$
$\frac{M g \sin θ}{k}$
$None of these$

The correct answer is: $fraction numerator 2 M g sin theta over denominator k end fraction$

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PhysicsMechanics

A thin wire of length L is bent into a circular wire of uniform linear density . When circular wire is in a vertical plane find the moment of inertia of loop about an axis BC, passing through centre of the loop and which makes an angle $theta$ with the tangent at the topmost point of the loop

A thin wire of length L is bent into a circular wire of uniform linear density . When circular wire is in a vertical plane find the moment of inertia of loop about an axis BC, passing through centre of the loop and which makes an angle $theta$ with the tangent at the topmost point of the loop

PhysicsMechanics

parallel

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